AAPL wrote:GMAT Prep
The numbers x and y are NOT integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x + y
(2) 1 is the integer that is closest to x - y
OA E
Let's take each statement one by one.
(1) 4 is the integer that is closest to x + y.
=> 4.5 > x + y ≥ 3.5
We do not have any information about y. Insufficient.
(2) 1 is the integer that is closest to x - y.
=> 1.5 > x - y ≥ 0.5
We do not have any information about y. Insufficient.
(1) and (2) together
We have
4.5 > x + y ≥ 3.5 ---(1) and
1.5 > x - y ≥ 0.5 ---(2)
Adding (1) and (2), we have
6 > 2x ≥ 4
3 > x ≥ 2
If, say x = 2.1, the integer closed to x is 2; however, if, say x = 2.8, the integer closed to x is 3. No unique value. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
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